Some local properties defining To-groups and related classes of groups
We call G a HallX -group if there exists a normal nilpotent subgroup N of G for which G/N0 is an X-group. We call G a T0-group provided G/Φ(G) is a T -group, that is, one in which normality is a transitive relation. We present several new local classes of groups which locally define HallX -groups an...
| Authors: | , , , |
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| Format: | article |
| Publication Date: | 2016 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:144969 |
| Online Access: | https://ddd.uab.cat/record/144969 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_60116_10 |
| Access Level: | Open access |
| Keyword: | Subnormal subgroup T -group Pst -group Finite solvable group |
| Summary: | We call G a HallX -group if there exists a normal nilpotent subgroup N of G for which G/N0 is an X-group. We call G a T0-group provided G/Φ(G) is a T -group, that is, one in which normality is a transitive relation. We present several new local classes of groups which locally define HallX -groups and T0-groups where X ∈ {T , PT , PST }; the classes PT and PST denote, respectively, the classes of groups in which permutability and S-permutability are transitive relations. 2010 Mathematics Subject Classification: Primary: 20D10, 20D20, 20D35. |
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